How do you solve the following system?: # 2x - 4y = 5 , 3x + 2y = 3 # Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer sankarankalyanam May 9, 2018 #color(green)(x = 11/8, y = -9/16# Explanation: #2x - 4y = 5, " Eqn (1)"# #3x + 2y = 3, " Eqn (2)"# #6x + 4y = 6, " Eqn (2) * 2"# #"Adding Eqn (1) with (2 * Eqn (2))"# #8x = 11# #color(green)(x = 11/8# Substituting value of x in Eqn (1), #(2 * 11)/8 - 4y = 5# #-4y = 5 - 22/8 = 9/4# #color(green)(y = - 9/16# Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve #y=-6x-3# and #y=3# using the substitution method? How do you solve #12y-3x=-1# and #x-4y=1# using the substitution method? Which method do you use to solve the system of equations #y=1/4x-14# and #y=19/8x+7#? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve #x+y=5# and #3x+y=15# using the substitution method? What is the point of intersection of the lines #x+2y=4# and #-x-3y=-7#? See all questions in Systems Using Substitution Impact of this question 2203 views around the world You can reuse this answer Creative Commons License